find the matching sentence: your monthly cost will be $321.83, or 1.52% of the cost of your new sport utility vehicle.
The Correct Answer and Explanation is :
To find a matching sentence that corresponds to the statement “your monthly cost will be $321.83, or 1.52% of the cost of your new sport utility vehicle,” we need to analyze its components.
Correct Sentence
The corresponding sentence could be: “The total cost of your new sport utility vehicle is $21,000.”
Explanation
The original sentence provides two important pieces of financial information: the monthly cost and the percentage it represents of the vehicle’s total cost. To understand the relationship between the monthly payment and the total cost, we can use the given figures to derive the total cost of the sport utility vehicle (SUV).
- Understanding the Percentage: The sentence states that the monthly cost of $321.83 is 1.52% of the total cost of the vehicle. This percentage indicates how much the monthly payment contributes to the overall expense of the vehicle. In financial terms, a monthly payment can often be represented as a percentage of the total financed amount.
- Calculating the Total Cost: To find the total cost of the SUV, we can set up the equation based on the information given. If $321.83 represents 1.52% of the total cost, we can express this mathematically as: [
321.83 = 0.0152 \times \text{Total Cost}
] Rearranging this gives: [
\text{Total Cost} = \frac{321.83}{0.0152} \approx 21,000
] - Interpretation: This calculation reveals that the total cost of the new sport utility vehicle is approximately $21,000. This information can help consumers understand their financing options better and evaluate whether the monthly payment fits within their budget relative to the total cost of the vehicle.
In summary, the original statement’s components can be mathematically correlated to provide insights into the financial commitment involved in purchasing a new sport utility vehicle.